Recent developments of the Lüroth problem | Jean-Louis Colliot-Thélène | Лекториум
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Опубликовано 15 мая 2015, 1:09
Recent developments of the Lüroth problem | Лектор: Jean-Louis Colliot-Thélène | Организатор: Математичеcкая лаборатория имени П.Л.Чебышева
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A complex irreducible algebraic variety X is unirational, resp. rational, if there is a many-to-one resp. one-to-one, surjective map from projective space to X. For curves and for surfaces, the two notions coincide (Lueroth 1876, Castelnuovo 1893). In dimension at least 3, they differ (Clemens-Griffiths, Iskovskikh-Manin, Artin-Mumford, 1974; Koll'ar 1995). However, for many natural classes of unirational varieties, rationality remains an open question. In 2013, Voisin used a specialization method to disprove rationality of some varieties. Her method also disproves stable rationality. It has been quickly developed, and applied to more classes of varieties.
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Смотрите это видео на Лекториуме: lektorium.tv/lecture/26082
A complex irreducible algebraic variety X is unirational, resp. rational, if there is a many-to-one resp. one-to-one, surjective map from projective space to X. For curves and for surfaces, the two notions coincide (Lueroth 1876, Castelnuovo 1893). In dimension at least 3, they differ (Clemens-Griffiths, Iskovskikh-Manin, Artin-Mumford, 1974; Koll'ar 1995). However, for many natural classes of unirational varieties, rationality remains an open question. In 2013, Voisin used a specialization method to disprove rationality of some varieties. Her method also disproves stable rationality. It has been quickly developed, and applied to more classes of varieties.
Подписывайтесь на канал: lektorium.tv/ZJA
Следите за новостями:
vk.com/openlektorium
facebook.com/openlektorium
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